Results 231 to 240 of about 70,365 (263)

Linear differential operators with unbounded operator coefficients and semigroups of bounded operators

Mathematical Notes, 1996
Let \(X\) be a complex Banach space and \(L_p= L_p(R_+,X)\). The author considers the linear differential operator \[ {\mathcal L}= -{d\over dt}+ A(t): D({\mathcal L})\subset L_p\to L_p,\quad p\in[1,\infty] \] and studies its spectral properties under the assumption that the family of closed operators \(A(t): D(A(t))\subset X\to X\), \(t\geq 0 ...
Anatoly Baskakov
openaire   +3 more sources

Bound, unbound operators and the squeezing effect

Il Nuovo Cimento B Series 11, 1995
In this paper we report the difference between the squeezing effect for quadrature operators (describing a photon field or harmonic oscillator) and for spin variables (describing a two-level system), the distinctions coming from the bound and unbound character of the operators involved in the definition of squeezing for each system.
B. Baseia, H. Dias, V. S. Bagnato
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Representations of quadratic ∗-algebras by bounded and unbounded operators

Reports on Mathematical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ostrovskyĭ, Vasyl L.   +1 more
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Conformation ofLac repressor tetramer in solution, bound and unbound to operator DNA

Microscopy Research and Technique, 1997
We tested whether the Steitz et al. [(1974) Proc. Natl. Acad. Sci. U.S.A., 71:593-597] model of lactose repressor (LacR) (14 x 6.0 x 4.5 nm) represented the shape of free or operator-bound LacR in solution. The model predicts a 14 nm length for bound LacR. Direct measurement, using Pt-C shadow width standards, was 9.6 +/- 0.2 nm long.
G C, Ruben, T B, Roos
openaire   +2 more sources

Bounded and Unbounded Linear Operators

2011
This chapter is devoted to the basic material on operator theory, semigroups, evolution familites, interpolation spaces, fractional powers of operators, intermediate spaces, and their basic properties needed in the sequel. Various illustrative examples are discussed in-depth. The estimates in Lemma 2.2 (Diagana et al. [52]) and Lemma 2.4 (Diagana [62])
Paul H. Bezandry, Toka Diagana
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